Paper 2012/127 Original: eprint.iacr.org/2012/127 ↗
Additive autocorrelation of some classes of cubic semi-bent Boolean functions
Abstract
In this paper, we investigate the relation between the autocorrelation of a cubic Boolean function $f\in \cB_n$ at $a \in \BBF_{2^n}$ and the kernel of the bilinear form associated with $D_{a}f$, the derivative of $f$ at $a$. Further, we apply this technique to obtain the tight upper bounds of absolute indicator and sum-of-squares indicator for avalanche characteristics of various classes of highly nonlinear non-bent cubic Boolean functions.
Metadata
- Available format(s)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2012-03-13: last updated
- 2012-03-13: published
- Short URL
- https://ia.cr/2012/127
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2012/127,
author = {Deep Singh and Maheshanand Bhaintwal},
title = {Additive autocorrelation of some classes of cubic semi-bent Boolean functions},
howpublished = {Cryptology {ePrint} Archive, Paper 2012/127},
year = {2012},
url = {https://eprint.iacr.org/2012/127}
}